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受欢迎的代数 >

-4x^2+x-9=0

解答

- 4 x^{2} + x - 9 = 0

解答

x = \frac{1}{8} - i \frac{143}{8}, x = \frac{1}{8} + i \frac{143}{8}

求解步骤

- 4 x^{2} + x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 4 ) ( - 9 )}{2 ( - 4 )}

化简

1^{2} - 4 (- 4) (- 9) : 143 i

x_{1, 2} = \frac{- 1 \pm 143 i}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- 1 + 143 i}{2 ( - 4 )}, x_{2} = \frac{- 1 - 143 i}{2 ( - 4 )}

x = \frac{- 1 + 143 i}{2 ( - 4 )} : \frac{1}{8} - i \frac{143}{8}

x = \frac{- 1 - 143 i}{2 ( - 4 )} : \frac{1}{8} + i \frac{143}{8}

二次方程组的解是:

x = \frac{1}{8} - i \frac{143}{8}, x = \frac{1}{8} + i \frac{143}{8}

作图

流行的例子

m^{2} = 144

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(x - 3)^{2} + (- 3)^{2} = 0.5

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\frac{x ^{2}}{36} + \frac{( x + 4 ) ^{2}}{64} = 1

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